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Focusing on the theory of abelian varieties over complex numbers, this book delves into both classical and contemporary results in the field. It provides a thorough introduction while also serving as a reference, highlighting projective embeddings, equations, and geometric properties. The text explores moduli spaces of abelian varieties with additional structures and discusses special results related to Jacobians and Prym varieties, which connect to algebraic curves. Key tools include the theta group of a line bundle and associated characteristics, extending classical theta function concepts.
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Complex Abelian Varieties, Christina Birkenhake, Herbert Lange
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- 2010
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